2829215695516 has 192 divisors, whose sum is σ = 6141740580864. Its totient is φ = 1114616505600.

The previous prime is 2829215695513. The next prime is 2829215695531. The reversal of 2829215695516 is 6155965129282.

It is a super-2 number, since 2×2829215695516² (a number of 26 digits) contains 22 as substring.

Its product of digits (23328000) is a multiple of the sum of its prime factors (4800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829215695513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668685121 + ... + 668689351.

It is an arithmetic number, because the mean of its divisors is an integer number (31988232192).

Almost surely, 2^{2829215695516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829215695516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070870290432).

2829215695516 is an abundant number, since it is smaller than the sum of its proper divisors (3312524885348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2829215695516 is a wasteful number, since it uses less digits than its factorization.

2829215695516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 61.

The spelling of 2829215695516 in words is "two trillion, eight hundred twenty-nine billion, two hundred fifteen million, six hundred ninety-five thousand, five hundred sixteen".